Numerade

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1.) For a two-compartment system separated by a thin membrane across which a solute of interest can diffuse, the volumes of the two compartments are not equal (V₁ = 1L, V2=4L). Derive an equation for the concentration of compartment 1 (C₁) as a function of time for the initial condition C₁°=150mM (you can assume the initial concentration in compartment 2 is 0). Calculate the concentration in compartment 1 after 30 seconds. Use the following conditions: Area of membrane=50cm², D=2x10-7 cm²/s, and the membrane thickness = 5 nm.

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An unexpected increase in the inflation rate leads to a reduction in the real interest rate. O True O False

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Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 93.4 cm \times 32. cm = cm$^2$ 156.3 g \div 84.874 mL = \frac{mL}{g} 0.934 \frac{mol}{L} \times 1.425 L = mol

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3.1 The need to evaluate the replacement, retirement, or augmentation of assets results from changes in the economics of their use in an operating environment. Various reasons can underlie these changes. Briefly discuss any 3 reasons why assets may need to be replaced, retired or augmented. (10) 3.2 Stylish Bricks is contemplating replacing their 12-year-old truck which now has maintenance expenses of R190,000 per year and it can be kept for ten more years, at which time it will have zero market value. It is believed that R290,000 could be obtained for the truck if it were sold now. A new truck can be purchased for R1 000 000.00. The new truck will have a market value of R700,000 in ten years and will have annual operating and maintenance expenses of R55,000 per year. Using a before-tax MARR of 19% per year, calculate to determine if the old truck should be replaced. A study period of ten years is appropriate.

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Processed data becomes: ? raw facts ? information

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Which of the following statements about 51 Peg b is NOT True:

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1. What things are necessary to build a pump that moves fluid?

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5.1 The pivot of mass $M$ of a pendulum of mass $m$ and length $l$ can slide without friction along the rod curved in vertical direction to the shape of parabola $y = \frac{x^2}{a}$ where $a$ is some positive constant. By using Lagrange method find the normal frequencies and normal modes of small oscillations. (20 points)

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In Illustration 1, Line 5 is has parenthesis with the word 'void' inside. What does the term 'void' mean? 1 #include <stdio.h> 2 3 void foo (void); 4 5 int main(void) 6 { 7 int i; 8 9 for(i=0; i<10;i++) 10 foo(); 11 12 return 0; 13} 14 15 void foo (void) 16 { 17 int j = 10; 18 19 printf("%d", j); 20 21 j++; 22} Illustration 1: Othe program is empty the argument was defined somewhere else Ono calling arguments used o no debugger is used in this program

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A single-phase transformer with 10kVA, 480/120V has the following data referred to secondary side: $V_{a}=138.54.53V$ $R_{eq}=0.0375\Omega, X_{eq}=0.2975\Omega$ $R_c=40.3\Omega, X_m=90.63\Omega$ The efficiency of this transformer at 0.8PF lagging is: Select one: a. 87.33% b. 97.58% c. 91.57% d. 88.96% e. 80%

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marie r.